- We know $x=r\cos\theta$ and $y=r\sin\theta$. Compute $dx$ in terms of $r, \theta,dr,d\theta$. (If you need to, assume that everything depends on $t$, compute derivatives, then then times by $dt$.)
- Plot the curve $r=3-2\sin\theta$.
- Plot the curve $r=3-3\sin\theta$.
- Plot the curve $r=3-4\sin\theta$.
- Plot the curve $r=2\cos\theta$.
- Plot the curve $r=2\cos2\theta$.
- Plot the curve $r=2\cos3\theta$.
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